Solve 10,250(1+0.02/4)^48

$$10,250 ( 1 + \frac { 0.02 } { 4 } ) ^ { 48 }$$

Evaluate

$$13022.51390122773514254716197628464703662881800239003575830596413110873372862566054864904413830308919007000617686120591542930924333631992340087890625$$

Solution Steps

Expand \frac{0.02}{4} by multiplying both numerator and the denominator by 100.

$$10250\left(1+\frac{2}{400}\right)^{48}$$

Reduce the fraction \frac{2}{400} to lowest terms by extracting and canceling out 2.

$$10250\left(1+\frac{1}{200}\right)^{48}$$

Add 1 and \frac{1}{200} to get \frac{201}{200}.

$$10250\times \left(\frac{201}{200}\right)^{48}$$

Calculate \frac{201}{200} to the power of 48 and get \frac{357610907030465439880362569912666296119230223667667565269737200616134139045122594396617946742686616746413129601}{281474976710656000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$10250\times \frac{357610907030465439880362569912666296119230223667667565269737200616134139045122594396617946742686616746413129601}{281474976710656000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Multiply 10250 and \frac{357610907030465439880362569912666296119230223667667565269737200616134139045122594396617946742686616746413129601}{281474976710656000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to get \frac{14662047188249083035094865366419318140888439170374370176059225225261499700850026370261335816450151286602938313641}{1125899906842624000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{14662047188249083035094865366419318140888439170374370176059225225261499700850026370261335816450151286602938313641}{1125899906842624000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Factor

$$\frac{41 \cdot 3 ^ {48} \cdot 67 ^ {48}}{2 ^ {143} \cdot 5 ^ {93}} = 13022\frac{5.786013444362502 \times 10^{107}}{1.125899906842624 \times 10^{108}} = 13022.513901227738$$